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Finding the Fourth Proportional to 384,756.10, 577,134.15 and 313,897.30

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Solution

The fourth proportional to 384,756.10, 577,134.15 and 313,897.30 is: 470,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,756.10 : 577,134.15 = 313,897.30 : x
  2. Step 2: Convert to fraction form
    384,756.10/577,134.15 = 313,897.30/x
  3. Step 3: Cross multiply
    384,756.10x = 577,134.15 × 313,897.30
  4. Step 4: Simplify right side
    384,756.10x = 181,160,851,422.80
  5. Step 5: Solve for x
    x = 181,160,851,422.80/384,756.10
  6. Step 6: Final answer
    x = 470,845.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.